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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Characterisation of compactness through convergence in Tychonoff spaces


Authors: C. G. Petalas and T. Vidalis
Journal: Proc. Amer. Math. Soc. 124 (1996), 633-636
MSC (1991): Primary 54A20, 54C35, 54D30
MathSciNet review: 1328370
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Abstract: In this article we first give a characterisation of compact spaces among $T_{3.5}$ spaces by improving a theorem of J. Ewert. Then, with the aid of a new type of convergence, we give a characterisation of the pseudocompact and of the Lindelöf $T_{3.5}$ spaces.


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Additional Information

C. G. Petalas
Affiliation: Department of Mathematics, University of Ioannina, Ioannina, Greece
Email: cpetalas@cc.uoi.gr

T. Vidalis
Affiliation: Department of Mathematics, University of Ioannina, Ioannina, Greece
Email: vidalis@cc.uoi.gr

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03414-4
PII: S 0002-9939(96)03414-4
Keywords: Uniform convergence, countable uniform convergence, almost uniform convergence
Received by editor(s): July 6, 1994
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1996 American Mathematical Society